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Simplifying 4(t + -6) + 3t = 6 + -1t Reorder the terms: 4(-6 + t) + 3t = 6 + -1t (-6 * 4 + t * 4) + 3t = 6 + -1t (-24 + 4t) + 3t = 6 + -1t Combine like terms: 4t + 3t = 7t -24 + 7t = 6 + -1t Solving -24 + 7t = 6 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. -24 + 7t + t = 6 + -1t + t Combine like terms: 7t + t = 8t -24 + 8t = 6 + -1t + t Combine like terms: -1t + t = 0 -24 + 8t = 6 + 0 -24 + 8t = 6 Add '24' to each side of the equation. -24 + 24 + 8t = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 8t = 6 + 24 8t = 6 + 24 Combine like terms: 6 + 24 = 30 8t = 30 Divide each side by '8'. t = 3.75 Simplifying t = 3.75
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